Greatest Common Factor of 174/99, 465/37, 145/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/99, 465/37, 145/543

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 174/99,465/37,145/543

Given fractions are 174/99,465/37,145/543

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 174,465,145

Greatest Common Factor of Numerators i.e. GCF of 174,465,145 is 1 .

LCM of Denominators means LCM of 99,37,543 as per the given fractions.

LCM of 99,37,543 is 663003 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,465,145

GCF of Fractions 174/99,465/37,145/543 is 1/663003

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 174,465,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,465,145 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 174,465,145 . The biggest common factor number is the GCF number.
So the greatest common factor 174,465,145 is 1.

Lets's calculate LCM of 99,37,543

3 99, 37, 543
33, 37, 181

∴ So the LCM of the given numbers is 3 x 33 x 37 x 181 = 663003

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/663003

Therefore, the GCF of Fractions 174/99,465/37,145/543 is 1/663003

Least Common Multiple of 99,37,543 with GCF Formula

Least Common Multiple of 99,37,543 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 99,37,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,37,543) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,37,543) x common factors =1 x 3 = 3

LCM(99,37,543) = ( 99 × 37 × 543 ) / 3

LCM(99,37,543) = 1989009 / 3

LCM(99,37,543) = 663003


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 174/99, 465/37, 145/543

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 174/99, 465/37, 145/543?

Answer: GCF of Numerators as per given numbers 174/99, 465/37, 145/543 is

GCF of Numerators i.e. for 174,465,145 is 1

LCM of denominators i.e. for 99,37,543 is 663003.

Thus, GCF of Fractions is 1/663003.Finally, GCF of Fractions for 174/99, 465/37, 145/543 is 1/663003.